168480000 has 450 divisors, whose sum is σ = 676060154. Its totient is φ = 41472000.

The previous prime is 168479989. The next prime is 168480001. The reversal of 168480000 is 84861.

It can be written as a sum of positive squares in 5 ways, for example, as 98724096 + 69755904 = 9936^2 + 8352^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 780 × 300 × 720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168480001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959994 + ... + 12960006.

Almost surely, 2^168480000 is an apocalyptic number.

168480000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338030077).

168480000 is an abundant number, since it is smaller than the sum of its proper divisors (507580154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168480000 is an frugal number, since it uses more digits than its factorization.

168480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168480000 is about 12979.9845916704. The cubic root of 168480000 is about 552.3098449510.

The spelling of 168480000 in words is "one hundred sixty-eight million, four hundred eighty thousand".